4y+7=2y+1

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Solution for 4y+7=2y+1 equation:


Simplifying
4y + 7 = 2y + 1

Reorder the terms:
7 + 4y = 2y + 1

Reorder the terms:
7 + 4y = 1 + 2y

Solving
7 + 4y = 1 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
7 + 4y + -2y = 1 + 2y + -2y

Combine like terms: 4y + -2y = 2y
7 + 2y = 1 + 2y + -2y

Combine like terms: 2y + -2y = 0
7 + 2y = 1 + 0
7 + 2y = 1

Add '-7' to each side of the equation.
7 + -7 + 2y = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 1 + -7
2y = 1 + -7

Combine like terms: 1 + -7 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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